Micromechanical formulation of first‐ and second‐order works in unsaturated granular media
Bibliographic record
Abstract
Abstract The current work provides a micromechanical formulation of the first‐ and second‐order works for unsaturated granular media. For this purpose, a Representative Elementary Volume (REV) of a triphasic medium is considered, which consists of a collection of particles with the pore space in between them occupied by wetting and non‐wetting fluids. By assigning a kinematics to the REV at the micro‐scale, the first‐ and second‐order works of internal forces associated with the solid phase, fluids, and the interfaces between them are derived. The formulations are presented in the most general case considering large deformations within both Eulerian and Lagrangian formalisms, while the special case of infinitesimal deformation and rotation is also investigated. With respect to classical formulations, the obtained expressions for the first‐ and second‐order works include additional contributions related to the deformation of the interface of the two fluids, and in case of the first‐order work, the change in geometry of the intersection line of the three phases. Next, we consider a special case of pendular regime at low wetting saturation, where the wetting fluid appears as a set of isolated liquid bridges formed between particle pairs. Such condition has been previously simulated via Discrete Element Method (DEM) numerical framework where the distributed capillary forces are replaced with a resultant capillary force that is added as a new contact force. We show here that using the resultant capillary force, the generated first‐ and second‐order works in the REV are generally different from the ones produced by the distributed capillary forces, unless under special conditions.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".